Help with Maxwell-Boltzmann Energy Distribution stuff

[eissa]

Homework Statement

I am trying to determine the fractions of electrons with energy between E=2ev and E=3ev. to simplify the equation I have substituted everything out leaving an integral which is what I need help with.

Homework Equations

f(x)=(Sqrt(x)*e^-x)dx
-integrate from x=1 to x=1.5
-divide into 5 parts

The Attempt at a Solution

After simplifying and factoring all constants the above equation is what I'm left with. I'm quite confused with this integral but was told by my professor to divide the interval into five equal segments and approximate the area under each rectangle. I remember doing something similar to this in a previous calc class involving riemann sums, whereby I believe the rectangles were also used, but I cannot seem to recall the necessary steps to solving this definite integral. Any ideas and suggestions would be great.

 

[Bacat]

This integral looks like the gamma function except that the limits of integration are different. I'm not sure if that helps you or not, but I believe you could find some help by learning more about the gamma function.

But I'd probably just use an integral table because I can never remember how to do Riemann sums when I need to. lol